Autumn Workshop on
Advances in Differential Equations : Theory and Computation
October 02-07, 2023
Abstract
Aim : The aim of the workshop Advances in Differential Equations : Theory and Computation (ADETC 2023) is to facilitate knowledge exchange and collaboration among leading experts, mathematicians, physicists, and engineers, providing a platform for discussing new ideas and advancements in differential equations and their analytical and numerical solution. This workshop will bring together some of the leading experts in the field, presenting the most significant theoretical advances, and discussing applications including disease dynamics.
Scope: Differential equations play an important role in science and engineering applications, such as the propagation of heat or sound, fluid flow, elasticity, electrodynamics, tumor modeling, etc. In the course of studying these equations, it turns out that analytical and numerical questions are often closely related. In a series of lectures, participants will learn Sobolev spaces and weak formulation of partial differential equations, enabling them to understand the mathematical framework. They will then explore hyperbolic conservation laws and learn how to discretize hyperbolic equations using finite volume methods, enabling the simulation of physical phenomena with conservation properties. The workshop will also introduce high-resolution methods, equipping participants with techniques to mitigate numerical dissipation and capture sharp gradients in solutions. Additionally, participants will gain proficiency in finite element methods for elliptic PDEs, enabling them to tackle challenging problems with complex geometries and boundary conditions. Throughout the workshop, a significant focus will be placed on practical implementation, leveraging MATLAB as a powerful tool for numerical computation, visualization, and analysis. Finally, the workshop will culminate in the application of these numerical methods to disease dynamics, explore several mathematical models and simulate disease spread.
In order to enable an intensive exchange, to enhance the communication and lasting relationships, all the participants are encouraged to present their own work in a short talk or with a poster. By the end of the workshop, participants will have a solid foundation in numerical methods for differential equations, hands-on experience in MATLAB programming, and the ability to apply these tools in the context of disease dynamics, fostering their academic growth and research capabilities.
Organizing Institution
School of Mathematics, Thapar Institute of Engineering & Technology (TIET), Patiala 147004, Punjab, India
Poster
Please see here.
Main Topics
Distribution theory, Sobolev spaces, and weak formulation of PDE
Hyperbolic conservation laws
Finite volume methods for conservation law
Finite element methods for PDE
Discontinuous Galerkin method
Singularly perturbed differential equations
Disease Dynamics
Application of numerical methods in MATLAB
Contact us
Dr. Paramjeet Singh, Associate Professor
Convener (ADETC 2023)
School of Mathematics, TIET, Patiala
E-mail: num.mathematics@gmail.com, paramjeet.singh@thapar.edu
Phone: +91 96460 56500
Organizing Committee
Chief Patron: Prof. Padmakumar Nair, Director, TIET, Patiala
Patron: Prof. Ajay Batish, Deputy Director, TIET, Patiala
Chairperson: Prof. Mahesh Kumar Sharma, Head, School of Mathematics, TIET, Patiala
Convener: Dr. Paramjeet Singh, Associate Professor, School of Mathematics, TIET, Patiala
Co-Conveners:
Dr. Arvind Kumar Lal, Professor, School of Mathematics, TIET, Patiala
Dr. Vivek Sangwan, Assistant Professor, School of Mathematics, TIET, Patiala
Organizing Secretaries:
Dr. Anuj Kumar, Assistant Professor, School of Mathematics, TIET, Patiala
Dr. Pramod Kumar Vaishnav, Assistant Professor, School of Mathematics, TIET, Patiala